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Simplifying 4(2 + -5d) + 12 = -80 (2 * 4 + -5d * 4) + 12 = -80 (8 + -20d) + 12 = -80 Reorder the terms: 8 + 12 + -20d = -80 Combine like terms: 8 + 12 = 20 20 + -20d = -80 Solving 20 + -20d = -80 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -20d = -80 + -20 Combine like terms: 20 + -20 = 0 0 + -20d = -80 + -20 -20d = -80 + -20 Combine like terms: -80 + -20 = -100 -20d = -100 Divide each side by '-20'. d = 5 Simplifying d = 5
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